Transcript 10 7 Polar Coords

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P. 783: 1-8 S
P. 783: 9-16 S
P. 783: 17-26 S
P. 783: 33-48 S
P. 784: 49-64 S
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Objectives:
1. To graph points in
polar coordinates
2. To convert between
rectangular and
polar coordinate
systems
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Assignment:
P. 783: 1-8 S
P. 783: 9-16 S
P. 783: 17-26 S
P. 783: 33-48 S
P. 784: 49-64 S
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Pole
Polar Axis
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Pole
Polar Axis
Plot the following points in polar coordinates.
Plot the following points in polar coordinates.
Positive
Negative
Directed
distance is in the
same direction
as the angle
Counterclockwise
rotation from
polar axis
Clockwise
rotation from
polar axis
Plot the following points in polar coordinates.
If you plot a point in
the rectangular
coordinate system,
there’s only one
ordered pair that
represents that
point. It is unique.
In polar coordinates, though, any point can have
multiple representations.
Original
Point
Point In The Same
Location
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To convert rectangular coordinates to polar
coordinates:
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To convert polar coordinates to rectangular
coordinates:
Convert the following rectangular coordinates to
polar coordinates.
Convert the following polar coordinates to
rectangular coordinates.
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Circle with radius = 4
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Vertical line through 1
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Objectives:
1. To graph points in
polar coordinates
2. To convert between
rectangular and
polar coordinate
systems
•
•
•
•
•
Assignment:
P. 783: 1-8 S
P. 783: 9-16 S
P. 783: 17-26 S
P. 783: 33-48 S
P. 784: 49-64 S